The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  9  1  1  1  1  3  1  1  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 16 20  1  9 13  5 12 15 16 24  6  7
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  9  0 18 18  9  0 18  0  9 18  9 18  0

generates a code of length 29 over Z27 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+480x^55+300x^56+10x^57+450x^58+414x^59+10x^60+468x^61+36x^62+2x^63+6x^64+6x^65+2x^66+2x^69

The gray image is a code over GF(3) with n=261, k=7 and d=165.
This code was found by Heurico 1.16 in 13.6 seconds.